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Finding the Third Proportional to 136,661 and 300,229

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Solution

The third proportional to 136,661 and 300,229 is: 659,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,661 : 300,229 = 300,229 : x
  2. Step 2: Convert to fraction form
    136,661/300,229 = 300,229/x
  3. Step 3: Cross multiply
    136,661x = 300,229 × 300,229
  4. Step 4: Simplify right side
    136,661x = 90,137,452,441
  5. Step 5: Solve for x
    x = 90,137,452,441/136,661
  6. Step 6: Final answer
    x = 659,569.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.